The rigorous study of the dynamics of evolving interfaces and related issues is among the most significant topics in Mathematics and Mathematical Physics. For example, the stochastic formation of fractals and the dynamics of spin systems studied in modern Spatial Probability Theory, the analysis of front propagation in Differential Equations, and finally, the numerical and experimental study of the development of multi-scale patterns in turbulent fluids and the behavior of shapes under the effect of erosion - all of these are instances of the effort to find mathematically rigorous tools, or in their absence, at least theoretical and heuristic arguments to describe the motion of interfaces.

This conference embraces a broad set of questions that lie on the intersection between Differential Equations, Probability Theory, Dynamical Systems, Complex Dynamics and Experimental Mathematics, with a twofold aim: From one side, to discuss a number of carefully selected paradigm problems in each of above mentioned fields and, from the other side, to develop more general and unified mathematical approaches to some classical questions which will help build new interdisciplinary connections.

In particular, one of the major goals is to derive laws for the macroscopic behavior of interfaces from first principles - i.e., from microscopic models evolving via a local (stochastic) dynamics, and then study those models with scale-appropriate techniques. At the same time, another important purpose of this project is to involve young researchers in China and thus to create an active and sustainable research group, involving as well graduate and postgraduate students, that would actively pursue this direction of research in the future.